101021133200 has 120 divisors (see below), whose sum is σ = 276747865128. Its totient is φ = 35105955840.

The previous prime is 101021133167. The next prime is 101021133247. The reversal of 101021133200 is 2331120101.

It can be written as a sum of positive squares in 12 ways, for example, as 10800197776 + 90220935424 = 103924^2 + 300368^2 .

It is a super-3 number, since 3×101021133200³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482987 + ... + 659786.

Almost surely, 2^101021133200 is an apocalyptic number.

101021133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021133200 is an abundant number, since it is smaller than the sum of its proper divisors (175726731928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021133200 is a wasteful number, since it uses less digits than its factorization.

101021133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142821 (or 1142810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101021133200 its reverse (2331120101), we get a palindrome (103352253301).

The spelling of 101021133200 in words is "one hundred one billion, twenty-one million, one hundred thirty-three thousand, two hundred".